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2012 Fiscal Year Final Research Report

Generalization of Lyapunov exponent and its application to non-equilibrium non-stationary phenomena

Research Project

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Project/Area Number 22740262
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Mathematical physics/Fundamental condensed matter physics
Research InstitutionKeio University

Principal Investigator

AKIMOTO Takuma  慶應義塾大学, 理工学研究科, 特任講師 (30454044)

Project Period (FY) 2010 – 2012
Keywords数理物理 / 統計力学
Research Abstract

As is well known, a particle found in pollen grains moves irregularly on the surface of water. For such diffusion, the mean square displacement of a particle increases linearly in time and the diffusivity is characterized by its slope, i.e., diffusion con

  • Research Products

    (20 results)

All 2013 2012 2011 2010 Other

All Journal Article (7 results) (of which Peer Reviewed: 7 results) Presentation (12 results) Remarks (1 results)

  • [Journal Article] Aging generates regular motions in weakly chaotic systems2013

    • Author(s)
      T. Akimoto and E. Barkai
    • Journal Title

      Phys. Rev.

      Volume: E 87

    • DOI

      DOI:10.1103/PhysRevE.87.032915

    • Peer Reviewed
  • [Journal Article] Ergodic properties of continuous-time random walks: Finite-size effects and ensemble dependencies2013

    • Author(s)
      T. Miyaguchi and T. Akimoto
    • Journal Title

      Phys. Rev.

      Volume: E 87

    • DOI

      DOI:10.1103/PhysRevE.87.032130

    • Peer Reviewed
  • [Journal Article] Distributional response to biases in deterministic superdiffusion2012

    • Author(s)
      T. Akimoto
    • Journal Title

      Phys. Rev. Lett.

      Volume: 108

    • DOI

      DOI:10.1103/PhysRevLett.108.164101

    • Peer Reviewed
  • [Journal Article] Generalization of the Einstein relation for single trajectories in deterministic subdiffusion2012

    • Author(s)
      T. Akimoto
    • Journal Title

      Phys. Rev.

      Volume: E 85

    • DOI

      DOI:10.1103/PhysRevE.85.021110

    • Peer Reviewed
  • [Journal Article] Ultraslow Convergence to Ergodicity in Transient Subdiffusion2011

    • Author(s)
      T. Miyaguchi and T. Akimoto
    • Journal Title

      Phys. Rev.

      Volume: E 83

    • DOI

      DOI:10.1103/PhysRevE.83.062101

    • Peer Reviewed
  • [Journal Article] Intrinsic Randomness of Transport Coefficient in Subdiffusion with Static Disorder2011

    • Author(s)
      T. Miyaguchi and T. Akimoto
    • Journal Title

      Phys. Rev.

      Volume: E 83

    • DOI

      DOI:10.1103/PhysRevE.83.031926

    • Peer Reviewed
  • [Journal Article] Role of infinite invariant measure in deterministic subdiffusion2010

    • Author(s)
      T. Akimoto and T. Miyaguchi
    • Journal Title

      Phys. Rev.

      Volume: E 82

    • DOI

      DOI:10.1103/PhysRevE.82.030102

    • Peer Reviewed
  • [Presentation] 弱いカオス系において、エイジングは規則的な運動を生成する2013

    • Author(s)
      秋元琢磨,Eli Barkai
    • Organizer
      日本物理学会第68回年次大会
    • Place of Presentation
      広島大学
    • Year and Date
      2013-03-27
  • [Presentation] Applications of infinite ergodic theory in anomalous diffusion2012

    • Author(s)
      T. Akimoto
    • Organizer
      ESF-JSPS Frontier Science Conference Series for Young Researchers, Mathematics for innovation: Large and complex systems
    • Place of Presentation
      Tokyo (Japan)
    • Year and Date
      20120228-0304
  • [Presentation] 速い拡散(レビィウォーク)に外場を加えると分布として応答する2012

    • Author(s)
      秋元琢磨
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      横浜国立大学
    • Year and Date
      2012-09-19
  • [Presentation] 細胞内輸送現象におけるベキ法則と応答理論2012

    • Author(s)
      秋元琢磨
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-27
  • [Presentation] 連続時間ランダムウォークにおけるエルゴード性の遅い回復2012

    • Author(s)
      宮口智成,秋元琢磨
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-25
  • [Presentation] 遅い拡散における単一軌道を基にしたアインシュタインの関係の拡張2012

    • Author(s)
      秋元琢磨
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2012-03-24
  • [Presentation] Relationship between dynamical instability and transport coefficient in anomalous subdiffusion2011

    • Author(s)
      T. Akimoto
    • Organizer
      Weak Chaos, Infinite Ergodic Theory, Anomalous Transport
    • Place of Presentation
      Max-Planck Institute (Germany)
    • Year and Date
      20110725-0813
  • [Presentation] 一時的劣拡散と切断レビィフライト:エルゴード性のゆっくりとした回復2011

    • Author(s)
      宮口智成,秋元琢磨
    • Organizer
      日本物理学会第66回年次大会
    • Place of Presentation
      新潟大学
    • Year and Date
      2011-03-28
  • [Presentation] 遅い決定論的拡散における輸送係数の揺らぎの理論2011

    • Author(s)
      秋元琢磨,宮口智成
    • Organizer
      日本物理学会第66回年次大会
    • Place of Presentation
      新潟大学
    • Year and Date
      2011-03-27
  • [Presentation] Intrinsic randomness of transport coefficient in anomalous diffusion2010

    • Author(s)
      T. Akimoto, and T. Miyaguchi
    • Organizer
      The 13th Slovenia-Japan seminar on nonlinear science and Waseda AICS symposium on nonlinear and nonequilibrium phenomena in complex systems
    • Place of Presentation
      Waseda (Japan)
    • Year and Date
      20101104-06
  • [Presentation] Statistical properties of the transport coefficient for deterministic anomalous diffusion2010

    • Author(s)
      T. Akimoto, and T. Miyaguchi
    • Organizer
      Anomalous Transport: from Billiards to Nanosystems
    • Place of Presentation
      Sperlonga (Italy)
    • Year and Date
      20100920-24
  • [Presentation] Mittag-Leffler law for diffusion coefficient in deterministic subdiffusion2010

    • Author(s)
      T. Akimoto, and T. Miyaguchi
    • Organizer
      Dynamics Days Asia Pacific 6
    • Place of Presentation
      Sydney (Australia)
    • Year and Date
      20100712-14
  • [Remarks]

    • URL

      http://akimototakuma.wordpress.com/

URL: 

Published: 2014-08-29  

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